Question

the exponential expression {(1/5)^-2 -(1/4)^-3 multiply by (-1/2)^-4​

Answer 1

Answer:

-624

is the answer

thank you

Answer 2

Answer:

-624.

Step-by-step explanation:

Let's simplify each term of the expression one by one:

(1/5)^-2 = 5^2 = 25 (since a negative exponent means to take the reciprocal)

(1/4)^-3 = 4^3 = 64 (again, a negative exponent means to take the reciprocal)

(-1/2)^-4 = (-2/1)^4 = 2^4 = 16 (since a negative exponent means to take the reciprocal, and then we can simplify the fraction by multiplying top and bottom by -1)

Now we can substitute these values into the expression:

{(1/5)^-2 -(1/4)^-3} * {(-1/2)^-4}

= (25 - 64) * 16

= -39 * 16

= -624

Therefore, the value of the exponential expression is -624.